Question

Two numbers are in ratio 9:13 . When 2 is subtracted from each ratio becomes 2:3, find the numbers .

Answer 1

Answer:

Hi I have solved the answer

Answer 2

Answer:

$x = 18 \: and \: y = 26$

Step-by-step explanation:

Let the two numbers are x and y .

According to the question,

$\frac{x}{y} = \frac{9}{13} \\ 9y = 13x \\ y = \frac{13x}{9} - - - - (1) \\ now \: according \: to \: question$

$\frac{x - 2}{y - 2} = \frac{2}{3} \\ 3(x - 2) = 2(y - 2) \\ 3x - 6 = 2y - 4 \\ 3x - 2y = 2 - - - (2) \\ put \: value \: of \: x \: from \: (1) \\ 3x - 2( \frac{13x}{9} ) = 2 \\ 3x - \frac{26x}{9} = 2 \\ \frac{27x - 26x}{9} = 2 \\ x = 18$

$put \: value \: of \: x \: in \: (1) \\ y = \frac{13 \times 18}{9} \\ y = 26$